Does Maxima know how to express special integrals in terms of special
functions? I've tested 5.10.0:
alexey at debian:~$ maxima
Maxima 5.10.0 http://maxima.sourceforge.net
Using Lisp GNU Common Lisp (GCL) GCL 2.6.7 (aka GCL)
Distributed under the GNU Public License. See the file COPYING.
Dedicated to the memory of William Schelter.
This is a development version of Maxima. The function bug_report()
provides bug reporting information.
(%i1) integrate(exp(t)/t,t);
/ t
[ %e
(%o1) I --- dt
] t
/
(%i2) integrate(sin(t)/t,t);
/
[ sin(t)
(%o2) I ------ dt
] t
/
(%i3) integrate(cos(t)/t,t);
/
[ cos(t)
(%o3) I ------ dt
] t
/
For integrals above, it's more convenient to output "Ei(t)", "Si(t)", "Ci(t)"
respectively. For example, Maxima knows about the error function:
(%i4) integrate(exp(t^2),t);
sqrt(%pi) %i erf(%i t)
(%o4) - ----------------------
2
--
Alexey Beshenov <al at beshenov.ru>
http://beshenov.ru/
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